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132033020223330 = 23257719731900369
BaseRepresentation
bin11110000001010101010101…
…010001001101111101100010
3122022111020022012020021122100
4132001111111101031331202
5114301212111134121310
61144451044312551230
736545033216400312
oct3601252521157542
9568436265207570
10132033020223330
1139084986905586
1212984a733b2516
135889877b26b35
14248660a245442
15103e7363daec0
hex78155544df62

132033020223330 has 48 divisors (see below), whose sum is σ = 343286477908920. Its totient is φ = 35208741256704.

The previous prime is 132033020223289. The next prime is 132033020223347. The reversal of 132033020223330 is 33322020330231.

132033020223330 is a `hidden beast` number, since 1 + 3 + 2 + 0 + 3 + 302 + 0 + 2 + 23 + 330 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 131947791843609 + 85228379721 = 11486853^2 + 291939^2 .

It is a junction number, because it is equal to n+sod(n) for n = 132033020223294 and 132033020223303.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 68527386 + ... + 70427754.

Almost surely, 2132033020223330 is an apocalyptic number.

132033020223330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

132033020223330 is an abundant number, since it is smaller than the sum of its proper divisors (211253457685590).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

132033020223330 is a wasteful number, since it uses less digits than its factorization.

132033020223330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2672355 (or 2672352 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 27.

Adding to 132033020223330 its reverse (33322020330231), we get a palindrome (165355040553561).

The spelling of 132033020223330 in words is "one hundred thirty-two trillion, thirty-three billion, twenty million, two hundred twenty-three thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 771973 1543946 1900369 2315919 3800738 3859865 4631838 5701107 6947757 7719730 9501845 11402214 11579595 13895514 17103321 19003690 23159190 28505535 34206642 34738785 57011070 69477570 85516605 171033210 1467033558037 2934067116074 4401100674111 7335167790185 8802201348222 13203302022333 14670335580370 22005503370555 26406604044666 44011006741110 66016510111665 132033020223330